Details

analyze262.0ms (14.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	46×	body	80	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify31.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	358	10
1	358	10

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 y x) z)

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

1 → 38

Calls

1 calls:

6.0ms

(/.f64 (-.f64 y x) z)

series7.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(/.f64 (-.f64 y x) z)

simplify73.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5121	548

prune26.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

Compiler

Compiled 560 to 169 computations (69.8% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (-.f64 y x))
0.4b	(/.f64 1 (/.f64 z (-.f64 y x)))

rewrite25.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
70×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 145

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 z (-.f64 y x)))
6.0ms	(/.f64 z (-.f64 y x))

series16.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 1 (/.f64 z (-.f64 y x)))
8.0ms	(/.f64 z (-.f64 y x))

simplify75.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5005	2562

prune74.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	151	3	154

Merged error: 0b

Counts

154 → 3

Compiler

Compiled 2437 to 762 computations (68.7% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series71.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt.f64 z)
19.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
18.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)

simplify76.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4942	588
1	4942	588

prune41.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

Compiler

Compiled 1429 to 447 computations (68.7% saved)

regimes119.0ms (6.8%)

Compiler: Compiled 140 to 122 computations (12.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample800.0ms (45.5%)

Algorithm

1×

intervals

Results

188.0ms	8000×	body	80	valid
29.0ms	1352×	body	80	invalid

Compiler

Compiled 45 to 39 computations (13.3% saved)

Details

analyze262.0ms (14.9%)

sample15.0ms (0.8%)

simplify31.0ms (1.8%)

prune4.0ms (0.2%)

localize5.0ms (0.3%)

rewrite7.0ms (0.4%)

series7.0ms (0.4%)

simplify73.0ms (4.2%)

prune26.0ms (1.5%)

localize6.0ms (0.4%)

rewrite25.0ms (1.4%)

series16.0ms (0.9%)

simplify75.0ms (4.3%)

prune74.0ms (4.2%)

localize9.0ms (0.5%)

rewrite12.0ms (0.7%)

series71.0ms (4.1%)

simplify76.0ms (4.3%)

prune41.0ms (2.3%)

regimes119.0ms (6.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample800.0ms (45.5%)

Profiling